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Finding the Third Proportional to 271,665.75 and 590,004.75

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Solution

The third proportional to 271,665.75 and 590,004.75 is: 1,281,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,665.75 : 590,004.75 = 590,004.75 : x
  2. Step 2: Convert to fraction form
    271,665.75/590,004.75 = 590,004.75/x
  3. Step 3: Cross multiply
    271,665.75x = 590,004.75 × 590,004.75
  4. Step 4: Simplify right side
    271,665.75x = 348,105,605,022.56
  5. Step 5: Solve for x
    x = 348,105,605,022.56/271,665.75
  6. Step 6: Final answer
    x = 1,281,374.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.